A company puts a code on each different product they sell. The code is made up of 3 numbers and 2 letters. How many different codes are possible?(no alphabet and numbers will be repeated )Choices:- 52000 625000 60000 468000
Question
A company puts a code on each different product they sell. The code is made up of 3 numbers and 2 letters. How many different codes are possible?(no alphabet and numbers will be repeated )Choices:- 52000 625000 60000 468000
Solution
The total number of different codes can be calculated by multiplying the number of possibilities for each character in the code.
For the 3 numbers (0-9), since no number can be repeated, the possibilities are 1098 = 720.
For the 2 letters (A-Z), since no letter can be repeated, the possibilities are 26*25 = 650.
So, the total number of different codes is 720 * 650 = 468,000.
Therefore, the correct answer is 468,000.
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